A Posteriori Error Estimate

This page contains source codes and script codes for the a posteriori error estimation project held at CEMRACS 2007, Luminy, France - the joint work of Mariana I. Prieto, Ibrahim Cheddadi, Martin Vohralik and myself. The project resulted in the two following papers:

• R. Fucik , I. Cheddadi, M. I. Prieto, and M. Vohralik
  Computable a posteriori error estimates in the finite element method based on its local conservativity: improvements using local minimization
  ESAIM: Mathematical Modelling and Numerical Analysis, No 43, 2009
• R. Fucik , I. Cheddadi, M. I. Prieto, and M. Vohralik
  Guaranteed and robust a posteriori error estimates for singularly perturbed reaction-diffusion problems ESAIM: Proceedings, No 24, 2008

Implementation

The FreeFEM++ finite-element package was used for implementation of the a posteriori error estimate.

Resources

• pdf (114,16 kB) Developers manual
• tar gz (371,23 kB) Source code + FreeFEM++ scripts
• web page of Martin Vohralik